scholarly journals Dual Representations of Cardinal Preferences

2008 ◽  
Author(s):  
Sudhir A. Shah
Keyword(s):  
Dual Representations

scholarly journals On syllable structure and phonological variation: The case of i-epenthesis by Brazilian Portuguese learners of English

2017 ◽  
Vol 70 (3) ◽  
pp. 169-184 ◽  
Author(s):  
Paul John ◽  
Walcir Cardoso
Keyword(s):  
Statistical Analysis ◽  
Multivariate Statistical Analysis ◽  
Syllable Structure ◽  
Brazilian Portuguese ◽  
Phonological Variation ◽  
Multivariate Statistical ◽  
Speech Output ◽  
Dual Representations ◽  
Learning Tasks ◽  
The Moment

Our study employs nonword-learning tasks to examine i-epenthesis in the speech output of 53 Brazilian Portuguese learners of English. One aim is to investigate conflicting views on the syllabification of consonants in various word-medial and final contexts, where they can be parsed as either codas or onsets of empty nuclei. Another aim is to test a proposal (Authors, 2017) concerning the source of L2 phonological variation: we suggest that L2 variation is lexical rather than derivational, stemming from individual items having dual underlying representations which compete for selection at the moment of speaking. The results of a multivariate statistical analysis indicate: i) a hierarchy of difficulty in the acquisition of the stops /p k/ in different lexical locations; and ii) simultaneous development of dual representations for single lexical items.

Representations and cohomologies of regular Hom-pre-Lie algebras

2019 ◽  
Vol 19 (08) ◽  
pp. 2050149
Author(s):  
Shanshan Liu ◽  
Lina Song ◽  
Rong Tang
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Cohomology Theory ◽  
Trivial Representation ◽  
Linear Deformation ◽  
Dual Representations ◽  
Regular Representations ◽  
Equivalent Characterization ◽  
Tensor Representations

In this paper, first we study dual representations and tensor representations of Hom-pre-Lie algebras. Then we develop the cohomology theory of regular Hom-pre-Lie algebras in terms of the cohomology theory of regular Hom-Lie algebras. As applications, we study linear deformations of regular Hom-pre-Lie algebras, which are characterized by the second cohomology groups of regular Hom-pre-Lie algebras with the coefficients in the regular representations. The notion of a Nijenhuis operator on a regular Hom-pre-Lie algebra is introduced which can generate a trivial linear deformation of a regular Hom-pre-Lie algebra. Finally, we introduce the notion of a Hessian structure on a regular Hom-pre-Lie algebra, which is a symmetric nondegenerate 2-cocycle with the coefficient in the trivial representation. We also introduce the notion of an [Formula: see text]-operator on a regular Hom-pre-Lie algebra, by which we give an equivalent characterization of a Hessian structure.

A note on self-dual representations of Sp(4,F)

2019 ◽  
Vol 199 ◽  
pp. 110-125
Author(s):  
Kumar Balasubramanian
Keyword(s):  
Dual Representations

Review of Dual Boundary Element Methods With Emphasis on Hypersingular Integrals and Divergent Series

1999 ◽  
Vol 52 (1) ◽  
pp. 17-33 ◽  
Author(s):  
J. T. Chen ◽  
H.-K. Hong
Keyword(s):  
Integral Representation ◽  
Boundary Element ◽  
Series Representation ◽  
Review Article ◽  
Boundary Element Methods ◽  
Divergent Series ◽  
Current Status ◽  
Hypersingular Integrals ◽  
Dual Representations ◽  
Regularization Techniques

This article provides a perspective on the current status of the formulations of dual boundary element methods with emphasis on the regularizations of hypersingular integrals and divergent series. A simple example is given to show the dual integral representation and the dual series representation for a discontinuous function and its derivative and thereby to illustrate the regularization problems encountered in dual boundary element methods. Hypersingularity and the theory of divergent series are put under the framework of the dual representations, their relation and regularization techniques being examined. Applications of the dual boundary element methods using hypersingularity and divergent series are explored. This review article contains 249 references.

Sign in / Sign up

Export Citation Format

Share Document